Finding the Fourth Proportional to 746,612,393,296.35, 1,030,314,137,658.80 and 417,020,241,431.40
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Solution
The fourth proportional to 746,612,393,296.35, 1,030,314,137,658.80 and 417,020,241,431.40 is: 575,481,808,625.85
Step by Step Solution
- Step 1: Write the proportion equation
746,612,393,296.35 : 1,030,314,137,658.80 = 417,020,241,431.40 : x - Step 2: Convert to fraction form
746,612,393,296.35/1,030,314,137,658.80 = 417,020,241,431.40/x - Step 3: Cross multiply
746,612,393,296.35x = 1,030,314,137,658.80 × 417,020,241,431.40 - Step 4: Simplify right side
746,612,393,296.35x = 429,661,850,436,657,540,497,408 - Step 5: Solve for x
x = 429,661,850,436,657,540,497,408/746,612,393,296.35 - Step 6: Final answer
x = 575,481,808,625.85
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.